2.2.1 Algebraic Proof

Question 1

proof

Answer 1

• an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion
  is true

Question 2

Properties of Equality

Answer 2

• There are eight Properties of Equality: Addition, Subtraction, Multiplication, Division, Reflexive,
  Symmetric, Transitive, and Substitution

Question 3

Distributive Property

Answer 3

• a(b + c) = ab + ac and a(b – c) = ab – ac

Question 4

Properties of Congruence

Answer 4

• There are three Properties of Congruence: Reflexive, Symmetric, and Transitive

Question 5

Subtraction Property of Equality

Answer 5

• if a = b, then a - c = b - c

Question 6

Symmetric Property of Equality

Answer 6

• if a = b, then b = a

Question 7

Substitution Property of Equality

Answer 7

• if a = b, then b can be substituted for a in any expression

Question 8

Division Property of Equality

Answer 8

• if a = b and c DOES NOT EQUAL 0, then a/c = b/c

Question 9

Addition Property of Equality

Answer 9

• if a = b, then a + c = b + c

Question 10

Multiplication Property of Equality

Answer 10

• if a = b, then ac = bc

Question 11

Reflexive Property of Equality

Answer 11

• a = a

Question 12

Transitive Property of Equality

Answer 12

• if a = b and b - c, then a = c

Question 13

Segment Addition Postulate

Answer 13

• If A, B, and C are collinear, and B is between A and C, then AB + BC = AC